2(5+w)+3(w+2)=

Solution for 2(5+w)+3(w+2)= equation:

Simplifying
2(5 + w) + 3(w + 2) = 0
(5 * 2 + w * 2) + 3(w + 2) = 0
(10 + 2w) + 3(w + 2) = 0

Reorder the terms:
10 + 2w + 3(2 + w) = 0
10 + 2w + (2 * 3 + w * 3) = 0
10 + 2w + (6 + 3w) = 0

Reorder the terms:
10 + 6 + 2w + 3w = 0

Combine like terms: 10 + 6 = 16
16 + 2w + 3w = 0

Combine like terms: 2w + 3w = 5w
16 + 5w = 0

Solving
16 + 5w = 0

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-16' to each side of the equation.
16 + -16 + 5w = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 5w = 0 + -16
5w = 0 + -16

Combine like terms: 0 + -16 = -16
5w = -16

Divide each side by '5'.
w = -3.2

Simplifying
w = -3.2